Karl Fogel at
English language conundrums, part 57,822:
Grammatically, it would make a lot of sense to say "She would like a couple more of cookies." But instead we say "She would like a couple of more cookies." (Or some omit the "of" entirely when using "couple", but that's even odder.)
I'm not English-native, but I'd probably say "She would like a couple of cookies more". Is that not correct?
(Also your first version without the "of", which I've heard a lot)